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7.2 Exercise 111

Avg difficulty 2.5

Felipe thinks 1x+1y\frac{1}{x} + \frac{1}{y} is 2x+y.\frac{2}{x + y} . ⓐ Choose numerical values for x and y and evaluate 1x+1y.\frac{1}{x} + \frac{1}{y} . ⓑ Evaluate 2x+y\frac{2}{x + y} for the same values of x and y you used in part ⓐ. ⓒ Explain why Felipe is wrong. ⓓ Find the correct expression for 1x+1y.\frac{1}{x} + \frac{1}{y} .

OpenStax Intermediate Algebra 2e, 7.2 Add and Subtract Rational Expressions, exercise 111

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Adapted from Intermediate Algebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Intermediate Algebra 2e. Imported at revision 77a933c.